Existence theorem of solutions to u′(t) = Au(t) for A weakly closed and its applications

DOI10.1016/0362-546X(94)00187-MzbMath0835.34083OpenAlexW1976089279MaRDI QIDQ4839263

Shigeo Kanda

Publication date: 15 April 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00187-m

zbMATH Keywords

weak solutionCauchy problemintegrabilityNavier-Stokes equationBanach space

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear differential equations in abstract spaces (34G20)

Cites Work

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• Weak solutions of Navier-Stokes equations
• Nonlinear semigroups in Hilbert space
• [https://portal.mardi4nfdi.de/wiki/Publication:4022093 Existence of Solutions to u � (t) = Au(t) for A Weakly Closed]
• Note on Nonlinear Contraction Semigroups
• Equivalent Norms for Sobolev Spaces
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Convergence of Difference Approximations and Nonlinear Semigroups
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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